Express the interval in set-builder notation and graph the interval on a number line.

[-3, 3)

The interval \([-3, 3)\) in set-builder notation is expressed as:

\[
\{ x \mid -3 \leq x < 3 \}
\]

This represents the set of all real numbers \(x\) such that \(x\) is greater than or equal to \(-3\) and strictly less than \(3\).

### Graphing on a Number Line:
- A **closed dot** is used at \(x = -3\) to indicate that \(-3\) is included in the interval.
- An **open dot** is used at \(x = 3\) to indicate that \(3\) is not included in the interval.
- The segment between \(-3\) and \(3\) is shaded to show all numbers between them.

Would you like me to provide more details or answer any questions? Here are five related questions:

1. How do you express an open interval \((a, b)\) in set-builder notation?
2. What is the difference between a closed and open interval?
3. How would the graph of \((-3, 3]\) differ from this interval?
4. How do we represent the union of two intervals on a number line?
5. Can intervals include infinity, and how would that affect set-builder notation?

**Tip**: Remember, square brackets \([ ]\) mean the endpoint is included, while parentheses \(( )\) mean the endpoint is excluded.

Learn how to express the interval [-3, 3) in set-builder notation and graph it on a number line. This problem explains key mathematical concepts such as open and closed intervals, and how to visually represent them on a number line. Suitable for students in Grades 6-8.

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